Thread: My bevel angle calculations

So I was bored last night, so I came up with some formulas for the bevel angle given the thickness of the spine, of the width of the razor, and of the thickness of the tape if it is used.

The first picture is of the derivation of the formulas. To clarify terminology, I used:

x = thickness of the spine
y = width of the razor measured from the edge of the spine to the bevel.
t = thickness of a piece of tape. If 2 or more pieces of tape are used, then just use the combined thickness of the pieces of tape for t.
alpha = angle of the bevel with no tape
beta = additional angle to account for the tape (to get the entire angle we need alpha + beta, hence (2) )

(1) is of the bevel angle using no tape.
(2) is the bevel angle accounting for the thickness of the tape.

The second picture I proved that when t=0, then (2) essentially reduces to (1) since the addition angle (called Beta, the funky B) becomes 0.

I know there have been postings about this in the past, but I thought I would just show how I arrived at my formulas.

Enjoy!